Triangle Similarity Postulates (1st)

Front

What is Triangle Similarity?

Back

Triangle similarity means that two triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using AA?

Back

To determine similarity using AA, check if two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are similar using SSS?

Back

To determine similarity using SSS, measure the lengths of the corresponding sides and check if the ratios are equal.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using SAS?

Back

To determine similarity using SAS, measure two sides of each triangle and the angle between them, ensuring the sides are in proportion and the angle is equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, which helps establish the similarity of the triangles.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of corresponding sides in similar triangles?

Back

In similar triangles, corresponding sides are in proportion, which is a key criterion for establishing similarity.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles be similar if they have no equal angles?

Back

No, two triangles cannot be similar if they have no equal angles, as angle equality is a requirement for similarity.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6